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Finding the Third Proportional to 488,193 and 1,000,170

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Solution

The third proportional to 488,193 and 1,000,170 is: 2,049,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,193 : 1,000,170 = 1,000,170 : x
  2. Step 2: Convert to fraction form
    488,193/1,000,170 = 1,000,170/x
  3. Step 3: Cross multiply
    488,193x = 1,000,170 × 1,000,170
  4. Step 4: Simplify right side
    488,193x = 1,000,340,028,900
  5. Step 5: Solve for x
    x = 1,000,340,028,900/488,193
  6. Step 6: Final answer
    x = 2,049,066.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.